305 citations · 859 across the 25 of their papers we have counts for
26 papers
How Scaling Symmetry Solves a Second-Order Differential Equation
Sidney Bludman, Andres Guzman, Dallas C. Kennedy
While not generally a conservation law, any symmetry of the equations of motion implies a useful reduction of any second-order equationto a first-order equation between invariants,…
Scaling Symmetry and Integrable Spherical Hydrostatics
Sidney Bludman, Dallas C. Kennedy
Any symmetry reduces a second-order differential equation to a first integral: variational symmetries of the action (exemplified by central field dynamics) lead to conservation law…
Applications of Classical Scaling Symmetry
Sidney Bludman
Any symmetry reduces a second-order differential equation to a first-order equation: variational symmetries of the action (exemplified by central field dynamics) lead to conservati…
Scale invariant stellar structure
Sidney Bludman, Dallas C. Kennedy
In scale invariant hydrostatic barotropes, the radial evolutionary equation linearly relates the local gravitational and internal energies. From this first-order equation, directly…
Invariant relationships deriving from classical scaling transformations
Sidney Bludman, Dallas C. Kennedy
Because scaling symmetries of the Euler-Lagrange equations are generally not variational symmetries of the action, they do not lead to conservation laws. Instead, an extension of N…
Classical Scaling Symmetry Implies Useful Nonconservation Laws
Sidney Bludman, Dallas C. Kennedy
Scaling symmetries of the Euler-Lagrange equations are generally not variational symmetries of the action and do not lead to conservation laws. Nevertheless, by an extension of Noe…